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1001011212 = 2232295379229
BaseRepresentation
bin111011101010100…
…011100000001100
32120202120122020100
4323222203200030
54022224324322
6243155051100
733543312015
oct7352434014
92522518210
101001011212
114740545a3
1223b2a0a90
1312c502536
1496d3200c
155cd30dac
hex3baa380c

1001011212 has 144 divisors (see below), whose sum is σ = 2712528000. Its totient is φ = 310722048.

The previous prime is 1001011211. The next prime is 1001011229. The reversal of 1001011212 is 2121101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001011194 and 1001011203.

It is not an unprimeable number, because it can be changed into a prime (1001011211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4371114 + ... + 4371342.

It is an arithmetic number, because the mean of its divisors is an integer number (18837000).

Almost surely, 21001011212 is an apocalyptic number.

1001011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356264000).

1001011212 is an abundant number, since it is smaller than the sum of its proper divisors (1711516788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001011212 is a wasteful number, since it uses less digits than its factorization.

1001011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1001011212 is about 31638.7612273300. The cubic root of 1001011212 is about 1000.3369571138.

Adding to 1001011212 its reverse (2121101001), we get a palindrome (3122112213).

The spelling of 1001011212 in words is "one billion, one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 79 87 106 116 158 159 174 212 229 237 261 316 318 348 458 474 477 522 636 687 711 916 948 954 1044 1374 1422 1537 1908 2061 2291 2748 2844 3074 4122 4187 4582 4611 6148 6641 6873 8244 8374 9164 9222 12137 12561 13282 13746 13833 16748 18091 18444 19923 20619 24274 25122 26564 27492 27666 36182 36411 37683 39846 41238 48548 50244 54273 55332 59769 72364 72822 75366 79692 82476 108546 109233 119538 121423 145644 150732 162819 217092 218466 239076 242846 325638 351973 364269 436932 485692 524639 651276 703946 728538 958823 1049278 1055919 1092807 1407892 1457076 1573917 1917646 2098556 2111838 2185614 2876469 3147834 3167757 3835292 4223676 4371228 4721751 5752938 6295668 6335514 8629407 9443502 11505876 12671028 17258814 18887004 27805867 34517628 55611734 83417601 111223468 166835202 250252803 333670404 500505606 1001011212